J. Marzo, B. Pridhnani
Published 2013-02-27Version 1
We obtain sufficient conditions for arrays of points, $\mathcal{Z}=\{\mathcal{Z}(L) \}_{L\ge 1},$ on the unit sphere $\mathcal{Z}(L)\subset \mathbb{S}^d,$ to be Marcinkiewicz-Zygmund and interpolating arrays for spaces of spherical harmonics. The conditions are in terms of the mesh norm and the separation radius of $\mathcal{Z}(L)$.
On the Duality between Sampling and Interpolation
Nonnegative $C^2(\mathbb{R}^2)$ interpolation
Algorithms for Nonnegative $C^2(\mathbb{R}^2)$ Interpolation
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